International Journal of Mathematics and Mathematical Sciences
Volume 2007 (2007), Article ID 84840, 6 pages
Research Article

Some External Characterizations of SV-Rings and Hereditary Rings

A. Haily and H. Rahnaoui

Département de Mathématiques, Faculté des Sciences, BP 20 El Jadida, Morocco

Received 7 November 2006; Accepted 16 April 2007

Academic Editor: Francois Goichot

Copyright © 2007 A. Haily and H. Rahnaoui. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We introduce a new class of rings which we call AI-rings. By applying this property to endomorphism rings, we give characterizations of semi-Artinian V-rings and hereditary rings.